Analytical Method in Solving Flow of Viscoelastic Fluid in a Porous Converging Channel
An analytical method, called homotopy perturbation method (HPM), is used to compute an approximation to the solution of the nonlinear differential equation governing the problem of two-dimensional and steady flow of a second-grade fluid in a converging channel. The table and figures are presented fo...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/257903 |
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| author | M. Esmaeilpour Naeem Roshan Negar Roshan D. D. Ganji |
| author_facet | M. Esmaeilpour Naeem Roshan Negar Roshan D. D. Ganji |
| author_sort | M. Esmaeilpour |
| collection | DOAJ |
| description | An analytical method, called homotopy perturbation method (HPM), is used to compute an approximation to the solution of the nonlinear differential equation governing the problem of two-dimensional and steady flow of a second-grade fluid in a converging channel. The table and figures are presented for influencing various parameters on the velocity field. The results compare well with those obtained by the numerical method. The method is straightforward and concise, and it can also be applied to other nonlinear evolution equations in mathematical physics. |
| format | Article |
| id | doaj-art-2a5b4931db4943c4b8e28c637df9d0b8 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2a5b4931db4943c4b8e28c637df9d0b82025-02-03T05:59:22ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/257903257903Analytical Method in Solving Flow of Viscoelastic Fluid in a Porous Converging ChannelM. Esmaeilpour0Naeem Roshan1Negar Roshan2D. D. Ganji3Department of Mechanical Engineering, Islamic Azad University, Nowshahr-Branch, Nowshahr, IranDepartment of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, IranComputer Engineering Department, Amir-Kabir University of Technology, Tehran, IranDepartment of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, IranAn analytical method, called homotopy perturbation method (HPM), is used to compute an approximation to the solution of the nonlinear differential equation governing the problem of two-dimensional and steady flow of a second-grade fluid in a converging channel. The table and figures are presented for influencing various parameters on the velocity field. The results compare well with those obtained by the numerical method. The method is straightforward and concise, and it can also be applied to other nonlinear evolution equations in mathematical physics.http://dx.doi.org/10.1155/2011/257903 |
| spellingShingle | M. Esmaeilpour Naeem Roshan Negar Roshan D. D. Ganji Analytical Method in Solving Flow of Viscoelastic Fluid in a Porous Converging Channel International Journal of Mathematics and Mathematical Sciences |
| title | Analytical Method in Solving Flow of Viscoelastic Fluid in a Porous Converging Channel |
| title_full | Analytical Method in Solving Flow of Viscoelastic Fluid in a Porous Converging Channel |
| title_fullStr | Analytical Method in Solving Flow of Viscoelastic Fluid in a Porous Converging Channel |
| title_full_unstemmed | Analytical Method in Solving Flow of Viscoelastic Fluid in a Porous Converging Channel |
| title_short | Analytical Method in Solving Flow of Viscoelastic Fluid in a Porous Converging Channel |
| title_sort | analytical method in solving flow of viscoelastic fluid in a porous converging channel |
| url | http://dx.doi.org/10.1155/2011/257903 |
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